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Finding the Third Proportional to 489,241.69 and 731,583.56

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Solution

The third proportional to 489,241.69 and 731,583.56 is: 1,093,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,241.69 : 731,583.56 = 731,583.56 : x
  2. Step 2: Convert to fraction form
    489,241.69/731,583.56 = 731,583.56/x
  3. Step 3: Cross multiply
    489,241.69x = 731,583.56 × 731,583.56
  4. Step 4: Simplify right side
    489,241.69x = 535,214,508,920.19
  5. Step 5: Solve for x
    x = 535,214,508,920.19/489,241.69
  6. Step 6: Final answer
    x = 1,093,967.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.